Find the Mass of a Solid Hemisphere of Radius 5 $\frac { 625 } { 4 }$

question 74

Multiple Choice

Find the mass of a solid hemisphere of radius 5 if the mass density at any point on the solid is directly proportional to its distance from the base of the solid.

• A) \(\frac { 625 } { 4 }\) k \( \pi\)
• B) \(25\) k \( \pi\)
• C) \(\frac { 25 } { 4 }\) k \( \pi\)
• D) \(\frac { 125 } { 4 }\) k \( \pi\)

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Definitions:

Upper Fence

A method in statistics used to identify potential outliers, determined by adding 1.5 times the interquartile range to the third quartile.

Box and Whisker Plot

A graphical representation used in statistics to display the distribution of datasets. It shows the median, quartiles, and possible outliers in the data.

Five-number Summary

A descriptive statistic that provides a quick overview of a dataset through five key numbers: minimum, first quartile, median, third quartile, and maximum.

Symmetric

A characteristic of an object or distribution in which it is identical in size, form, and arrangement on both sides of a dividing line or plane.